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Finding the Third Proportional to 189,922 and 409,932

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Solution

The third proportional to 189,922 and 409,932 is: 884,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,922 : 409,932 = 409,932 : x
  2. Step 2: Convert to fraction form
    189,922/409,932 = 409,932/x
  3. Step 3: Cross multiply
    189,922x = 409,932 × 409,932
  4. Step 4: Simplify right side
    189,922x = 168,044,244,624
  5. Step 5: Solve for x
    x = 168,044,244,624/189,922
  6. Step 6: Final answer
    x = 884,806.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.